1201381440 has 448 divisors, whose sum is σ = 4619304960. Its totient is φ = 258785280.

The previous prime is 1201381421. The next prime is 1201381469. The reversal of 1201381440 is 441831021.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1201381440.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15207321 + ... + 15207399.

Almost surely, 2^1201381440 is an apocalyptic number.

1201381440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1201381440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2309652480).

1201381440 is an abundant number, since it is smaller than the sum of its proper divisors (3417923520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1201381440 is a wasteful number, since it uses less digits than its factorization.

1201381440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 1201381440 is about 34660.9497850246. The cubic root of 1201381440 is about 1063.0661903197.

The spelling of 1201381440 in words is "one billion, two hundred one million, three hundred eighty-one thousand, four hundred forty".